Search a number
-
+
663929001344 = 2772113936779
BaseRepresentation
bin10011010100101010100…
…00001001010110000000
32100110201100112210211202
421222111100021112000
541334211311020334
61225001010400332
765652531253100
oct11522520112600
92313640483752
10663929001344
11236630681504
12a88105900a8
134a7ba3aab5b
14241c4889200
151240c4be17e
hex9a95409580

663929001344 has 96 divisors (see below), whose sum is σ = 1552235092200. Its totient is φ = 282022637568.

The previous prime is 663929001311. The next prime is 663929001367. The reversal of 663929001344 is 443100929366.

It is a super-4 number, since 4×6639290013444 (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240347 + ... + 1177125.

Almost surely, 2663929001344 is an apocalyptic number.

663929001344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663929001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776117546100).

663929001344 is an abundant number, since it is smaller than the sum of its proper divisors (888306090856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

663929001344 is a wasteful number, since it uses less digits than its factorization.

663929001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936920 (or 936901 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 47.

The spelling of 663929001344 in words is "six hundred sixty-three billion, nine hundred twenty-nine million, one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 128 196 224 226 392 448 452 784 791 896 904 1568 1582 1808 3136 3164 3616 5537 6272 6328 7232 11074 12656 14464 22148 25312 44296 50624 88592 101248 177184 354368 708736 936779 1873558 3747116 6557453 7494232 13114906 14988464 26229812 29976928 45902171 52459624 59953856 91804342 104919248 105856027 119907712 183608684 209838496 211712054 367217368 419676992 423424108 734434736 740992189 839353984 846848216 1468869472 1481984378 1693696432 2937738944 2963968756 3387392864 5186945323 5875477888 5927937512 6774785728 10373890646 11855875024 13549571456 20747781292 23711750048 41495562584 47423500096 82991125168 94847000192 165982250336 331964500672 663929001344